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455930856 = 2334821857
BaseRepresentation
bin11011001011001…
…111001111101000
31011202220200120000
4123023033033220
51413204241411
6113124103000
714204230323
oct3313171750
91152820500
10455930856
112143a7667
12108834a60
13735c5394
14447a37ba
152a060956
hex1b2cf3e8

455930856 has 80 divisors (see below), whose sum is σ = 1280075940. Its totient is φ = 151614720.

The previous prime is 455930843. The next prime is 455930873. The reversal of 455930856 is 658039554.

455930856 is a `hidden beast` number, since 4 + 5 + 593 + 0 + 8 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 447322500 + 8608356 = 21150^2 + 2934^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 531580 + ... + 532436.

Almost surely, 2455930856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455930856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640037970).

455930856 is an abundant number, since it is smaller than the sum of its proper divisors (824145084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455930856 is a wasteful number, since it uses less digits than its factorization.

455930856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 455930856 is about 21352.5374604519. The cubic root of 455930856 is about 769.6613206686.

The spelling of 455930856 in words is "four hundred fifty-five million, nine hundred thirty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 821 857 1642 1714 2463 2571 3284 3428 4926 5142 6568 6856 7389 7713 9852 10284 14778 15426 19704 20568 22167 23139 29556 30852 44334 46278 59112 61704 66501 69417 88668 92556 133002 138834 177336 185112 266004 277668 532008 555336 703597 1407194 2110791 2814388 4221582 5628776 6332373 8443164 12664746 16886328 18997119 25329492 37994238 50658984 56991357 75988476 113982714 151976952 227965428 455930856